International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

The use of mathematical models of control processes in foundry such as: K-test and Chemical spectral analysis is a good set of mathematics (thermal conductivity theory) and theoretical physics (first-order phase transition) are important elements for ensuring high quality castings in micro-foundries.
The idea of estimating the overheating of a liquid metal alloy based on the appearance of a curing process upon filling has been developed. These control processes combined with zone refining are an important opportunity to create a waste-free foundry in a circular economy in Industry 4.0.

The base process was obtained: 3D hardening temperature field for the K-test under heat transfer at conditions with maximum intensity. A methodology for determining macro-level defects in aluminum alloys. It is definitely the placement of the K-test method in the process of creating the first order phase transition in a casting technology. The idea of interaction between the classical theory of crystallization and quantum mechanics for the processes of structure formation at casting was introduced by Stefan’s task in volume with nano-size.

An integral representation of technological parameters of low pressure casting for the production of a car wheel is made. An algorithm and methodology for communication between micro-foundry and material science induced by the change Industry 4.0.